GCD of 697, 727, 314, 738 Calculator

Given Input numbers are 697, 727, 314, 738

In the factoring method, we have to find the divisors of all numbers

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (697, 727, 314, 738) = 1.

Given numbers are 697, 727, 314, 738

The list of prime factors of all numbers are

Prime factors of 697 are 17 x 41

Prime factors of 727 are 727

Prime factors of 314 are 2 x 157

Prime factors of 738 are 2 x 3 x 3 x 41

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 697, 727, 314, 738

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(697, 727) = 506719

GCD(697, 727) = ( 697 x 727 ) / 506719

= 697 / 727

= 697

Step2:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

So, Greatest Common Divisor of 697, 727, 314, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 169, 170, 294
• GCD of 315, 667, 830, 565
• GCD of 704, 678, 616, 258
• GCD of 601, 593, 896, 333
• GCD of 484, 782, 574, 973

Given numbers are 697, 727, 314, 738
The greatest common divisor of numbers 697, 727, 314, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 697, 727, 314, 738 is 1.

1. What is the GCD of 697, 727, 314, 738?

GCD of given numbers 697, 727, 314, 738 is 1

2. How to calculate the greatest common divisor of 697, 727, 314, 738?

We can find the highest common divisor of 697, 727, 314, 738 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 697, 727, 314, 738 i.e 1.

3. How can I use the GCD of 697, 727, 314, 738Calculator?

Out the numbers 697, 727, 314, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.